How do I simplify the following problem below?

Question

566 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-24T20:18:18

See a solution process below:

First, rewrite the expression as:

#-6root(4)(81a^4b^8 xx 5ac)#

Next, use this rule for radicals:

#root(n)(color(red)(a) * color(blue)(b)) = root(n)(color(red)(a)) * root(n)(color(blue)(b))#

#-6root(4)(color(red)(81a^4b^8) xx color(blue)(5ac)) =>#

#-6root(4)(color(red)(81a^4b^8))root(4)(color(blue)(5ac)) =>#

#-6 xx 3ab^2root(4)(color(blue)(5ac)) =>#

#-18ab^2root(4)(5ac)#